(1)由向量m//n可知:(2sinB2cos^2B/2-1)-(-根号3cos2B)=0,即:2sinBcosB+根号3cos2B=sin2B+根号3cos2B=2(1/2sin2B+根号3/2cos2B)=2cos(2B-30°)=0,所以2B-30°=90°,B=60°;
(2)由三角形面积公式得:S=1/2acsinB=根号3/4ac
(1)由向量m//n可知:(2sinB2cos^2B/2-1)-(-根号3cos2B)=0,即:2sinBcosB+根号3cos2B=sin2B+根号3cos2B=2(1/2sin2B+根号3/2cos2B)=2cos(2B-30°)=0,所以2B-30°=90°,B=60°;
(2)由三角形面积公式得:S=1/2acsinB=根号3/4ac